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1 year ago

3. Classify each function according to whether it is a vertical stretch, a vertical compression, a horizontal

Mathematics

1 answer:

Vladimir79 [104]1 year ago

4 0

The classifications of the functions are

A vertical stretch --- p(x) = 4f(x)
A vertical compression --- g(x) = 0.65f(x)
A horizontal stretch --- k(x) = f(0.5x)
A horizontal compression --- h(x) = f(14x)

<h3>How to classify each function accordingly?</h3>

The categories of the functions are given as

A vertical stretch
A vertical compression
A horizontal stretch
A horizontal compression

The general rules of the above definitions are:

A vertical stretch --- g(x) = a f(x) if |a| > 1
A vertical compression --- g(x) = a f(x) if 0 < |a| < 1
A horizontal stretch --- g(x) = f(bx) if 0 < |b| < 1
A horizontal compression --- g(x) = f(bx) if |b| > 1

Using the above rules and highlights, we have the classifications of the functions to be

A vertical stretch --- p(x) = 4f(x)
A vertical compression --- g(x) = 0.65f(x)
A horizontal stretch --- k(x) = f(0.5x)
A horizontal compression --- h(x) = f(14x)

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